Kelvin-wave turbulence in superfluids

Abstract

We study the statistical and dynamical behavior of turbulent Kelvin waves propagating on quantized vortices in superfluids, and address the controversy concerning the energy spectrum that is associated with these excitations. Finding the correct energy spectrum is important because Kelvin waves play a major role in the dissipation of energy in superfluid turbulence at near-zero temperatures. In this paper, we show analytically that the solution proposed in Ref. \cite{10LN} enjoys existence, uniqueness and regularity of the pre-factor. Furthermore, we present numerical results of the dynamical equation that describes to leading order the non-local regime of the Kelvin wave dynamics. We compare our findings with the analytical results from the proposed local and non-local theories for Kelvin wave dynamics and show an agreement with the non-local predictions. Accordingly, the spectrum proposed in Ref. \cite{10LN} should be used in future theories of quantum turbulence. Finally, for weaker wave forcing we observe an intermittent behavior of the wave spectrum with a fluctuating dissipative scale, which we interpreted as a finite-size effect characteristic to mesoscopic wave turbulence.

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• Sustained turbulence in the three-dimensional Gross-Pitaevskii model
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
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• Universal mechanism of dissipation in Fermi superfluids at ultra low temperatures
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• Kelvin waves and the decay of quantum superfluid turbulence
• Energy spectrum of the 3D velocity field, induced by vortex tangle
• Quantum turbulence by vortex stirring in a spinor Bose-Einstein condensate
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• Turbulent relaxation after a quench in the Heisenberg model
• Temperature suppression of Kelvin-wave turbulence in superfluids
• Amplitude of waves in the Kelvin-wave cascade
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• Finite temperature effects in helical quantum turbulence
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• Rotating magnetohydrodynamic turbulence
• Density functional theory modeling of vortex shedding in superfluid He-4
• Comment on "Amplitude of waves in the Kelvin-wave cascade"
• Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
• Studies on quantum turbulence with Vinen